TIDUE53J March 2018 – February 2025 TMS320F28P550SG , TMS320F28P550SJ , TMS320F28P559SG-Q1 , TMS320F28P559SJ-Q1
Before looking at the voltage loop model, the power measurement from DQ domain can be written as:

where 
Hence:


The DC Bus regulation loop is assumed to be providing the power reference, which is divided by the square of the line voltages RMS to provide the conductance. When further multiplied by the line voltage gives the instantaneous current.
Figure 2-31 Voltage Loop ModelA small-signal model of the DC bus regulation loop is developed by linearizing Equation 31 around the operating point:

Because transformation is an amplitude
invariant, translating from RMS to peak quantities using
and
, Equation 32 can be derived.

Also for resistive load on the DC Bus:
.
Therefore, the voltage loop plant can be written as Equation 33

Using the previous model the following compensator, Equation 34 is designed for the voltage loop:

SFRA is used to measure the voltage loop bandwidth, and compare against the model which shows good correlation to the model. Figure 2-32 shows the plant frequency response comparison and Figure 2-33 shows the open-loop frequency response comparison of modeled versus measured.
Figure 2-32 Voltage Loop Plant Frequency
Response Measured vs Modeled
Figure 2-33 Voltage Loop, Open-Loop
Frequency Response Modeled vs Measured